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Optimization‐based material parameter identification in indentation testing for finite strain elasto‐plasticity
Author(s) -
Rauchs G.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200510261
Subject(s) - finite element method , indentation , isotropy , plasticity , sensitivity (control systems) , materials science , structural engineering , elasticity (physics) , mechanics , mathematics , mathematical analysis , engineering , physics , composite material , quantum mechanics , electronic engineering
The calculation of the derivatives of the state variables with respect to material parameters using the direct differentiation method is developed for the case of a finite strain finite element analysis in corotational formulation for material behaviour including hypo‐elasticity and non‐linear isotropic and kinematic hardening plasticity. The sensitivity analysis for the case of flexible‐to‐flexible contact, required in indentation testing, has been included. The derivatives obtained in a rotating‐stretching bar problem are compared to results obtained by the finite difference method in order to verify the suitability of the corotational formulation in sensitivity analysis for dealing with rigid body rotations. Material parameter identification using a gradient‐based numerical optimization procedure is assessed with respect to stability by using pseudo‐experimental indentation curves, obtained from modelling with known material parameters, and superposed with artificial noise. The effect of the load history on parameter identification is investigated.